IPV and logTrailsA Regression Models

Trails A Regression Model 1

## Loading required package: Matrix
## KernSmooth 2.23 loaded
## Copyright M. P. Wand 1997-2009
## 
## Attaching package: 'lmerTest'
## 
## The following object is masked from 'package:lme4':
## 
##     lmer
## 
## The following object is masked from 'package:stats':
## 
##     step
## Warning: number of observations <= rank(Z); variance-covariance matrix
## will be unidentifiable
## Linear mixed model fit by REML ['merModLmerTest']
## Formula: logTrailsA ~ (Age + IPVstatus + Sex + PovStat)^4 + (Age | HNDid) +      (1 | subclass) 
##    Data: IPVandCognitionDataSet2 
## REML criterion at convergence: 105.1 
## Random effects:
##  Groups   Name        Std.Dev. Corr
##  HNDid    (Intercept) 0.24226      
##           Age         0.00363  1.00
##  subclass (Intercept) 0.16528      
##  Residual             0.20530      
## Number of obs: 126, groups: HNDid, 63; subclass, 21
## Fixed Effects:
##                        (Intercept)                                 Age  
##                            3.49590                             0.01943  
##                         IPVstatus1                              SexMen  
##                            0.01224                            -0.12694  
##                       PovStatBelow                      Age:IPVstatus1  
##                            0.13647                             0.00401  
##                         Age:SexMen                    Age:PovStatBelow  
##                           -0.00852                            -0.00467  
##                  IPVstatus1:SexMen             IPVstatus1:PovStatBelow  
##                            0.03726                             0.59477  
##                SexMen:PovStatBelow               Age:IPVstatus1:SexMen  
##                            0.17288                            -0.00661  
##        Age:IPVstatus1:PovStatBelow             Age:SexMen:PovStatBelow  
##                            0.07783                             0.00854  
##     IPVstatus1:SexMen:PovStatBelow  Age:IPVstatus1:SexMen:PovStatBelow  
##                           -0.28503                            -0.05589
## Warning: number of observations <= rank(Z); variance-covariance matrix will be unidentifiable
## Warning: number of observations <= rank(Z); variance-covariance matrix will be unidentifiable
## Random term (Age | HNDid) was eliminated because of having correlation +-1 or NaN
## Warning: number of observations <= rank(Z); variance-covariance matrix
## will be unidentifiable
## Random term (Age + 0 | HNDid) was eliminated because of standard deviation being equal to 0
## 
## Random effects:
##                Chi.sq Chi.DF elim.num p.value
## (1 | subclass)   4.39      1     kept  0.0362
## (1 | HNDid)      9.34      1     kept  0.0022
## 
## Fixed effects:
##                           Sum Sq Mean Sq NumDF  DenDF F.value elim.num
## Age:IPVstatus:Sex:PovStat 0.0718  0.0718     1 101.05  1.6908        1
## Age:Sex:PovStat           0.0014  0.0014     1  89.96  0.0222        2
## IPVstatus:Sex:PovStat     0.0016  0.0016     1  57.48  0.0486        3
## Age:IPVstatus:Sex         0.0088  0.0088     1  99.84  0.9785        4
## IPVstatus:Sex             0.0561  0.0561     1  44.26  0.5451        5
## Age:Sex                   0.0081  0.0081     1  81.40  1.4800        6
## Sex:PovStat               0.0450  0.0450     1  45.43  0.9178        7
## Sex                       0.0182  0.0182     1  56.60  0.0813        8
## Age:IPVstatus:PovStat     0.1344  0.1344     1 106.00  2.0650        9
## IPVstatus:PovStat         0.0029  0.0029     1  57.59  0.1146       10
## Age:PovStat               0.0578  0.0578     1 105.57  1.4302       11
## Age:IPVstatus             0.1567  0.1567     1  85.63  3.0904       12
## IPVstatus                 0.0432  0.0432     1  39.50  0.8161       13
## Age                       0.9870  0.9870     1  72.43 17.7015     kept
## PovStat                   0.4068  0.4068     1  60.46  8.1005     kept
##                           Pr(>F)
## Age:IPVstatus:Sex:PovStat 0.1964
## Age:Sex:PovStat           0.8819
## IPVstatus:Sex:PovStat     0.8264
## Age:IPVstatus:Sex         0.3250
## IPVstatus:Sex             0.4642
## Age:Sex                   0.2273
## Sex:PovStat               0.3431
## Sex                       0.7766
## Age:IPVstatus:PovStat     0.1537
## IPVstatus:PovStat         0.7362
## Age:PovStat               0.2344
## Age:IPVstatus             0.0823
## IPVstatus                 0.3718
## Age                        1e-04
## PovStat                   0.0060
## 
## Least squares means:
##                PovStat Estimate Standard Error   DF t-value Lower CI
## PovStat  Above     1.0   3.3456         0.0482 29.6 69.3800     3.25
## PovStat  Below     2.0   3.5723         0.0681 52.5 52.4400     3.44
##                Upper CI p-value
## PovStat  Above     3.44  <2e-16
## PovStat  Below     3.71  <2e-16
## 
##  Differences of LSMEANS:
##                     Estimate Standard Error   DF t-value Lower CI Upper CI
## PovStat Above-Below     -0.2         0.0796 60.5   -2.85   -0.386  -0.0674
##                     p-value
## PovStat Above-Below   0.006
## 
## Final model:
## lme4::lmer(formula = logTrailsA ~ Age + PovStat + (1 | subclass) + 
##     (1 | HNDid), data = IPVandCognitionDataSet2, REML = reml, 
##     contrasts = l)

Re-run final Model 1

(mm1 = lmer(logTrailsA ~ Age + PovStat + (Age | HNDid) + (1 | subclass), data = IPVandCognitionDataSet2))
## Warning: number of observations <= rank(Z); variance-covariance matrix
## will be unidentifiable
## Linear mixed model fit by REML ['merModLmerTest']
## Formula: logTrailsA ~ Age + PovStat + (Age | HNDid) + (1 | subclass) 
##    Data: IPVandCognitionDataSet2 
## REML criterion at convergence: 60.73 
## Random effects:
##  Groups   Name        Std.Dev. Corr
##  HNDid    (Intercept) 0.25622      
##           Age         0.00428  1.00
##  subclass (Intercept) 0.11868      
##  Residual             0.20765      
## Number of obs: 126, groups: HNDid, 63; subclass, 21
## Fixed Effects:
##  (Intercept)           Age  PovStatBelow  
##        3.493         0.020         0.217

summary(mm1)
## Warning: number of observations <= rank(Z); variance-covariance matrix will be unidentifiable
## Warning: number of observations <= rank(Z); variance-covariance matrix will be unidentifiable
## Linear mixed model fit by REML ['merModLmerTest']
## Formula: logTrailsA ~ Age + PovStat + (Age | HNDid) + (1 | subclass) 
##    Data: IPVandCognitionDataSet2 
## 
## REML criterion at convergence: 60.73 
## 
## Random effects:
##  Groups   Name        Variance Std.Dev. Corr
##  HNDid    (Intercept) 6.56e-02 0.25622      
##           Age         1.83e-05 0.00428  1.00
##  subclass (Intercept) 1.41e-02 0.11868      
##  Residual             4.31e-02 0.20765      
## Number of obs: 126, groups: HNDid, 63; subclass, 21
## 
## Fixed effects:
##              Estimate Std. Error       df t value Pr(>|t|)
## (Intercept)   3.49339    0.06713 29.40000   52.04  < 2e-16
## Age           0.02004    0.00502 55.50000    4.00  0.00019
## PovStatBelow  0.21736    0.07990 60.90000    2.72  0.00849
## 
## Correlation of Fixed Effects:
##             (Intr) Age   
## Age          0.690       
## PovStatBelw -0.479 -0.195

plot(st)

plot of chunk unnamed-chunk-1 plot of chunk unnamed-chunk-1


plot(mm1)

plot of chunk unnamed-chunk-1

Trails A Regression Model 2 (with CES)

load("~/Desktop/Megan/Research/IPV and Cognition Paper/IPV R Output/IPVandCognitionDataSet2.rda")

library(lme4)
library(lmerTest)

(mm2 = lmer(logTrailsA ~ (Age + IPVstatus + PovStat + Sex + CES1)^5 + (Age | 
    HNDid) + (1 | subclass), data = IPVandCognitionDataSet2))
## Warning: number of observations <= rank(Z); variance-covariance matrix
## will be unidentifiable
## Linear mixed model fit by REML ['merModLmerTest']
## Formula: logTrailsA ~ (Age + IPVstatus + PovStat + Sex + CES1)^5 + (Age |      HNDid) + (1 | subclass) 
##    Data: IPVandCognitionDataSet2 
## REML criterion at convergence: 126.3 
## Random effects:
##  Groups   Name        Std.Dev. Corr
##  HNDid    (Intercept) 0.2484       
##           Age         0.0108   1.00
##  subclass (Intercept) 0.2400       
##  Residual             0.1948       
## Number of obs: 126, groups: HNDid, 63; subclass, 21
## Fixed Effects:
##                              (Intercept)  
##                                  3.27571  
##                                      Age  
##                                  0.01132  
##                               IPVstatus1  
##                                  0.56229  
##                             PovStatBelow  
##                                  0.51101  
##                                   SexMen  
##                                  0.18535  
##                                    CES11  
##                                  0.53124  
##                           Age:IPVstatus1  
##                                  0.05488  
##                         Age:PovStatBelow  
##                                  0.00817  
##                               Age:SexMen  
##                                  0.00300  
##                                Age:CES11  
##                                  0.02339  
##                  IPVstatus1:PovStatBelow  
##                                  0.79088  
##                        IPVstatus1:SexMen  
##                                 -0.48505  
##                         IPVstatus1:CES11  
##                                 -1.11796  
##                      PovStatBelow:SexMen  
##                                 -0.27201  
##                       PovStatBelow:CES11  
##                                 -0.84280  
##                             SexMen:CES11  
##                                 -0.88872  
##              Age:IPVstatus1:PovStatBelow  
##                                  0.08332  
##                    Age:IPVstatus1:SexMen  
##                                 -0.06921  
##                     Age:IPVstatus1:CES11  
##                                 -0.10798  
##                  Age:PovStatBelow:SexMen  
##                                 -0.01737  
##                   Age:PovStatBelow:CES11  
##                                 -0.03368  
##                         Age:SexMen:CES11  
##                                 -0.04307  
##           IPVstatus1:PovStatBelow:SexMen  
##                                 -0.68797  
##            IPVstatus1:PovStatBelow:CES11  
##                                  0.36562  
##                  IPVstatus1:SexMen:CES11  
##                                  1.50619  
##                PovStatBelow:SexMen:CES11  
##                                  0.94029  
##       Age:IPVstatus1:PovStatBelow:SexMen  
##                                 -0.04672  
##        Age:IPVstatus1:PovStatBelow:CES11  
##                                  0.05031  
##              Age:IPVstatus1:SexMen:CES11  
##                                  0.17332  
##            Age:PovStatBelow:SexMen:CES11  
##                                  0.06501  
##     IPVstatus1:PovStatBelow:SexMen:CES11  
##                                 -0.12875  
## Age:IPVstatus1:PovStatBelow:SexMen:CES11  
##                                 -0.10717

(st = step(mm2))
## Warning: number of observations <= rank(Z); variance-covariance matrix will be unidentifiable
## Warning: number of observations <= rank(Z); variance-covariance matrix will be unidentifiable
## Random term (Age | HNDid) was eliminated because of having correlation +-1 or NaN
## Warning: number of observations <= rank(Z); variance-covariance matrix
## will be unidentifiable
## Random term (Age + 0 | HNDid) was eliminated because of standard deviation being equal to 0
## 
## Random effects:
##                Chi.sq Chi.DF elim.num p.value
## (1 | HNDid)      0.08      1        1  0.7715
## (1 | subclass)  27.02      1     kept       0
## 
## Fixed effects:
##                                Sum Sq Mean Sq NumDF DenDF F.value elim.num
## Age:IPVstatus:PovStat:Sex:CES1 0.0733  0.0733     1 74.83  1.3905        1
## Age:IPVstatus:PovStat:CES1     0.2073  0.2073     1 76.72  0.0890        2
## Age:PovStat:Sex:CES1           0.0034  0.0034     1 81.31  0.4199        3
## IPVstatus:PovStat:Sex:CES1     0.0422  0.0422     1 84.64  0.4761        4
## IPVstatus:PovStat:CES1         0.1542  0.1542     1 88.79  0.0660        5
## Age:PovStat:CES1               0.0126  0.0126     1 83.82  1.5658        6
## Age                            2.0697  2.0697     1 96.86 28.7149     kept
## IPVstatus                      0.1219  0.1219     1 87.50 18.0699     kept
## PovStat                        1.3519  1.3519     1 83.89 28.8773     kept
## Sex                            0.0677  0.0677     1 90.92  4.8506     kept
## CES1                           0.0057  0.0057     1 89.77  3.4502     kept
## Age:IPVstatus                  0.4919  0.4919     1 87.59 16.3846     kept
## Age:PovStat                    0.1932  0.1932     1 89.03  8.2177     kept
## Age:Sex                        0.0311  0.0311     1 83.35  5.3015     kept
## Age:CES1                       0.0100  0.0100     1 89.31  0.4787     kept
## IPVstatus:PovStat              0.0381  0.0381     1 97.06  8.9974     kept
## IPVstatus:Sex                  0.1985  0.1985     1 85.99  0.4014     kept
## IPVstatus:CES1                 0.0140  0.0140     1 96.01  1.2870     kept
## PovStat:Sex                    0.1329  0.1329     1 87.92  0.6062     kept
## PovStat:CES1                   0.2606  0.2606     1 97.42  2.4621     kept
## Sex:CES1                       0.3697  0.3697     1 97.01  1.7074     kept
## Age:IPVstatus:PovStat          0.4935  0.4935     1 97.79 10.0300     kept
## Age:IPVstatus:Sex              0.0000  0.0000     1 85.53  1.3564     kept
## Age:IPVstatus:CES1             0.0427  0.0427     1 93.11  0.4878     kept
## Age:PovStat:Sex                0.0174  0.0174     1 91.19  1.8130     kept
## Age:Sex:CES1                   0.4308  0.4308     1 94.72  4.2872     kept
## IPVstatus:PovStat:Sex          0.0000  0.0000     1 91.00  4.8846     kept
## IPVstatus:Sex:CES1             0.1554  0.1554     1 93.03 10.9756     kept
## PovStat:Sex:CES1               0.1581  0.1581     1 95.31  4.5672     kept
## Age:IPVstatus:PovStat:Sex      0.2898  0.2898     1 87.40  6.0739     kept
## Age:IPVstatus:Sex:CES1         0.2693  0.2693     1 91.21  9.9724     kept
##                                Pr(>F)
## Age:IPVstatus:PovStat:Sex:CES1 0.2421
## Age:IPVstatus:PovStat:CES1     0.7663
## Age:PovStat:Sex:CES1           0.5188
## IPVstatus:PovStat:Sex:CES1     0.4921
## IPVstatus:PovStat:CES1         0.7979
## Age:PovStat:CES1               0.2143
## Age                             0e+00
## IPVstatus                       1e-04
## PovStat                         0e+00
## Sex                            0.0302
## CES1                           0.0665
## Age:IPVstatus                  0.0001
## Age:PovStat                    0.0052
## Age:Sex                        0.0238
## Age:CES1                       0.4908
## IPVstatus:PovStat              0.0034
## IPVstatus:Sex                  0.5280
## IPVstatus:CES1                 0.2594
## PovStat:Sex                    0.4383
## PovStat:CES1                   0.1199
## Sex:CES1                       0.1944
## Age:IPVstatus:PovStat          0.0021
## Age:IPVstatus:Sex              0.2474
## Age:IPVstatus:CES1             0.4866
## Age:PovStat:Sex                0.1815
## Age:Sex:CES1                   0.0411
## IPVstatus:PovStat:Sex          0.0296
## IPVstatus:Sex:CES1             0.0013
## PovStat:Sex:CES1               0.0351
## Age:IPVstatus:PovStat:Sex      0.0157
## Age:IPVstatus:Sex:CES1         0.0022
## 
## Least squares means:
##                                      IPVstatus PovStat  Sex CES1 Estimate
## IPVstatus  0                               1.0      NA   NA   NA     3.41
## IPVstatus  1                               2.0      NA   NA   NA     3.55
## PovStat  Above                              NA     1.0   NA   NA     3.33
## PovStat  Below                              NA     2.0   NA   NA     3.63
## Sex  Women                                  NA      NA  2.0   NA     3.51
## Sex  Men                                    NA      NA  1.0   NA     3.45
## CES1  0                                     NA      NA   NA  1.0     3.55
## CES1  1                                     NA      NA   NA  2.0     3.41
## IPVstatus:PovStat  0 Above                 1.0     1.0   NA   NA     3.30
## IPVstatus:PovStat  1 Above                 2.0     1.0   NA   NA     3.35
## IPVstatus:PovStat  0 Below                 1.0     2.0   NA   NA     3.52
## IPVstatus:PovStat  1 Below                 2.0     2.0   NA   NA     3.75
## IPVstatus:Sex  0 Women                     1.0      NA  2.0   NA     3.45
## IPVstatus:Sex  1 Women                     2.0      NA  2.0   NA     3.56
## IPVstatus:Sex  0 Men                       1.0      NA  1.0   NA     3.37
## IPVstatus:Sex  1 Men                       2.0      NA  1.0   NA     3.54
## IPVstatus:CES1  0 0                        1.0      NA   NA  1.0     3.45
## IPVstatus:CES1  1 0                        2.0      NA   NA  1.0     3.65
## IPVstatus:CES1  0 1                        1.0      NA   NA  2.0     3.37
## IPVstatus:CES1  1 1                        2.0      NA   NA  2.0     3.45
## PovStat:Sex  Above Women                    NA     1.0  2.0   NA     3.37
## PovStat:Sex  Below Women                    NA     2.0  2.0   NA     3.65
## PovStat:Sex  Above Men                      NA     1.0  1.0   NA     3.28
## PovStat:Sex  Below Men                      NA     2.0  1.0   NA     3.62
## PovStat:CES1  Above 0                       NA     1.0   NA  1.0     3.33
## PovStat:CES1  Below 0                       NA     2.0   NA  1.0     3.77
## PovStat:CES1  Above 1                       NA     1.0   NA  2.0     3.32
## PovStat:CES1  Below 1                       NA     2.0   NA  2.0     3.50
## Sex:CES1  Women 0                           NA      NA  2.0  1.0     3.56
## Sex:CES1  Men 0                             NA      NA  1.0  1.0     3.54
## Sex:CES1  Women 1                           NA      NA  2.0  2.0     3.46
## Sex:CES1  Men 1                             NA      NA  1.0  2.0     3.36
## IPVstatus:PovStat:Sex  0 Above Women       1.0     1.0  2.0   NA     3.39
## IPVstatus:PovStat:Sex  1 Above Women       2.0     1.0  2.0   NA     3.35
## IPVstatus:PovStat:Sex  0 Below Women       1.0     2.0  2.0   NA     3.52
## IPVstatus:PovStat:Sex  1 Below Women       2.0     2.0  2.0   NA     3.78
## IPVstatus:PovStat:Sex  0 Above Men         1.0     1.0  1.0   NA     3.21
## IPVstatus:PovStat:Sex  1 Above Men         2.0     1.0  1.0   NA     3.35
## IPVstatus:PovStat:Sex  0 Below Men         1.0     2.0  1.0   NA     3.52
## IPVstatus:PovStat:Sex  1 Below Men         2.0     2.0  1.0   NA     3.73
## IPVstatus:Sex:CES1  0 Women 0              1.0      NA  2.0  1.0     3.42
## IPVstatus:Sex:CES1  1 Women 0              2.0      NA  2.0  1.0     3.70
## IPVstatus:Sex:CES1  0 Men 0                1.0      NA  1.0  1.0     3.47
## IPVstatus:Sex:CES1  1 Men 0                2.0      NA  1.0  1.0     3.61
## IPVstatus:Sex:CES1  0 Women 1              1.0      NA  2.0  2.0     3.48
## IPVstatus:Sex:CES1  1 Women 1              2.0      NA  2.0  2.0     3.43
## IPVstatus:Sex:CES1  0 Men 1                1.0      NA  1.0  2.0     3.26
## IPVstatus:Sex:CES1  1 Men 1                2.0      NA  1.0  2.0     3.46
## PovStat:Sex:CES1  Above Women 0             NA     1.0  2.0  1.0     3.27
## PovStat:Sex:CES1  Below Women 0             NA     2.0  2.0  1.0     3.85
## PovStat:Sex:CES1  Above Men 0               NA     1.0  1.0  1.0     3.39
## PovStat:Sex:CES1  Below Men 0               NA     2.0  1.0  1.0     3.69
## PovStat:Sex:CES1  Above Women 1             NA     1.0  2.0  2.0     3.47
## PovStat:Sex:CES1  Below Women 1             NA     2.0  2.0  2.0     3.45
## PovStat:Sex:CES1  Above Men 1               NA     1.0  1.0  2.0     3.17
## PovStat:Sex:CES1  Below Men 1               NA     2.0  1.0  2.0     3.55
##                                      Standard Error   DF t-value Lower CI
## IPVstatus  0                                 0.0678 23.2    50.3     3.27
## IPVstatus  1                                 0.0812 42.7    43.7     3.39
## PovStat  Above                               0.0674 22.9    49.4     3.19
## PovStat  Below                               0.0820 41.5    44.3     3.47
## Sex  Women                                   0.0700 25.5    50.1     3.37
## Sex  Men                                     0.0855 46.3    40.4     3.28
## CES1  0                                      0.0760 33.5    46.7     3.40
## CES1  1                                      0.0730 30.0    46.7     3.26
## IPVstatus:PovStat  0 Above                   0.0681 23.7    48.5     3.16
## IPVstatus:PovStat  1 Above                   0.0907 58.7    37.0     3.17
## IPVstatus:PovStat  0 Below                   0.0899 56.1    39.1     3.34
## IPVstatus:PovStat  1 Below                   0.1089 75.0    34.5     3.54
## IPVstatus:Sex  0 Women                       0.0715 27.2    48.3     3.31
## IPVstatus:Sex  1 Women                       0.0904 55.8    39.4     3.38
## IPVstatus:Sex  0 Men                         0.0911 52.6    37.0     3.18
## IPVstatus:Sex  1 Men                         0.1149 84.3    30.8     3.31
## IPVstatus:CES1  0 0                          0.0733 29.8    47.0     3.30
## IPVstatus:CES1  1 0                          0.1106 78.8    33.0     3.43
## IPVstatus:CES1  0 1                          0.0806 41.6    41.9     3.21
## IPVstatus:CES1  1 1                          0.0885 52.6    39.0     3.27
## PovStat:Sex  Above Women                     0.0699 25.5    48.2     3.23
## PovStat:Sex  Below Women                     0.0907 55.3    40.2     3.47
## PovStat:Sex  Above Men                       0.0892 52.4    36.8     3.10
## PovStat:Sex  Below Men                       0.1131 80.0    32.0     3.40
## PovStat:CES1  Above 0                        0.0915 55.4    36.4     3.15
## PovStat:CES1  Below 0                        0.0931 55.6    40.5     3.58
## PovStat:CES1  Above 1                        0.0749 31.2    44.3     3.17
## PovStat:CES1  Below 1                        0.1063 74.1    32.9     3.29
## Sex:CES1  Women 0                            0.0869 49.9    41.0     3.39
## Sex:CES1  Men 0                              0.0994 67.1    35.6     3.34
## Sex:CES1  Women 1                            0.0822 38.2    42.1     3.29
## Sex:CES1  Men 1                              0.0987 66.0    34.1     3.17
## IPVstatus:PovStat:Sex  0 Above Women         0.0768 34.1    44.1     3.24
## IPVstatus:PovStat:Sex  1 Above Women         0.0849 49.4    39.4     3.18
## IPVstatus:PovStat:Sex  0 Below Women         0.1001 61.5    35.1     3.32
## IPVstatus:PovStat:Sex  1 Below Women         0.1380 94.5    27.4     3.51
## IPVstatus:PovStat:Sex  0 Above Men           0.0865 47.7    37.1     3.04
## IPVstatus:PovStat:Sex  1 Above Men           0.1426 98.3    23.5     3.07
## IPVstatus:PovStat:Sex  0 Below Men           0.1371 96.1    25.7     3.25
## IPVstatus:PovStat:Sex  1 Below Men           0.1538 95.6    24.2     3.42
## IPVstatus:Sex:CES1  0 Women 0                0.0804 42.1    42.6     3.26
## IPVstatus:Sex:CES1  1 Women 0                0.1284 90.4    28.8     3.44
## IPVstatus:Sex:CES1  0 Men 0                  0.0960 59.7    36.1     3.28
## IPVstatus:Sex:CES1  1 Men 0                  0.1661 99.5    21.8     3.29
## IPVstatus:Sex:CES1  0 Women 1                0.0916 51.9    38.0     3.30
## IPVstatus:Sex:CES1  1 Women 1                0.0986 63.5    34.8     3.24
## IPVstatus:Sex:CES1  0 Men 1                  0.1177 83.9    27.7     3.03
## IPVstatus:Sex:CES1  1 Men 1                  0.1298 91.2    26.7     3.21
## PovStat:Sex:CES1  Above Women 0              0.0827 43.9    39.6     3.11
## PovStat:Sex:CES1  Below Women 0              0.1233 89.5    31.2     3.60
## PovStat:Sex:CES1  Above Men 0                0.1401 96.2    24.2     3.11
## PovStat:Sex:CES1  Below Men 0                0.1153 80.0    32.0     3.46
## PovStat:Sex:CES1  Above Women 1              0.0830 41.6    41.8     3.30
## PovStat:Sex:CES1  Below Women 1              0.1074 72.7    32.1     3.23
## PovStat:Sex:CES1  Above Men 1                0.1056 62.4    30.1     2.96
## PovStat:Sex:CES1  Below Men 1                0.1682 99.3    21.1     3.22
##                                      Upper CI p-value
## IPVstatus  0                             3.55  <2e-16
## IPVstatus  1                             3.72  <2e-16
## PovStat  Above                           3.47  <2e-16
## PovStat  Below                           3.80  <2e-16
## Sex  Women                               3.65  <2e-16
## Sex  Men                                 3.62  <2e-16
## CES1  0                                  3.71  <2e-16
## CES1  1                                  3.56  <2e-16
## IPVstatus:PovStat  0 Above               3.44  <2e-16
## IPVstatus:PovStat  1 Above               3.53  <2e-16
## IPVstatus:PovStat  0 Below               3.70  <2e-16
## IPVstatus:PovStat  1 Below               3.97  <2e-16
## IPVstatus:Sex  0 Women                   3.60  <2e-16
## IPVstatus:Sex  1 Women                   3.75  <2e-16
## IPVstatus:Sex  0 Men                     3.55  <2e-16
## IPVstatus:Sex  1 Men                     3.77  <2e-16
## IPVstatus:CES1  0 0                      3.60  <2e-16
## IPVstatus:CES1  1 0                      3.88  <2e-16
## IPVstatus:CES1  0 1                      3.54  <2e-16
## IPVstatus:CES1  1 1                      3.63  <2e-16
## PovStat:Sex  Above Women                 3.51  <2e-16
## PovStat:Sex  Below Women                 3.83  <2e-16
## PovStat:Sex  Above Men                   3.46  <2e-16
## PovStat:Sex  Below Men                   3.85  <2e-16
## PovStat:CES1  Above 0                    3.52  <2e-16
## PovStat:CES1  Below 0                    3.96  <2e-16
## PovStat:CES1  Above 1                    3.47  <2e-16
## PovStat:CES1  Below 1                    3.71  <2e-16
## Sex:CES1  Women 0                        3.73  <2e-16
## Sex:CES1  Men 0                          3.74  <2e-16
## Sex:CES1  Women 1                        3.62  <2e-16
## Sex:CES1  Men 1                          3.56  <2e-16
## IPVstatus:PovStat:Sex  0 Above Women     3.55  <2e-16
## IPVstatus:PovStat:Sex  1 Above Women     3.52  <2e-16
## IPVstatus:PovStat:Sex  0 Below Women     3.72  <2e-16
## IPVstatus:PovStat:Sex  1 Below Women     4.05  <2e-16
## IPVstatus:PovStat:Sex  0 Above Men       3.39  <2e-16
## IPVstatus:PovStat:Sex  1 Above Men       3.64  <2e-16
## IPVstatus:PovStat:Sex  0 Below Men       3.79  <2e-16
## IPVstatus:PovStat:Sex  1 Below Men       4.03  <2e-16
## IPVstatus:Sex:CES1  0 Women 0            3.59  <2e-16
## IPVstatus:Sex:CES1  1 Women 0            3.95  <2e-16
## IPVstatus:Sex:CES1  0 Men 0              3.66  <2e-16
## IPVstatus:Sex:CES1  1 Men 0              3.94  <2e-16
## IPVstatus:Sex:CES1  0 Women 1            3.67  <2e-16
## IPVstatus:Sex:CES1  1 Women 1            3.63  <2e-16
## IPVstatus:Sex:CES1  0 Men 1              3.50  <2e-16
## IPVstatus:Sex:CES1  1 Men 1              3.72  <2e-16
## PovStat:Sex:CES1  Above Women 0          3.44  <2e-16
## PovStat:Sex:CES1  Below Women 0          4.09  <2e-16
## PovStat:Sex:CES1  Above Men 0            3.67  <2e-16
## PovStat:Sex:CES1  Below Men 0            3.92  <2e-16
## PovStat:Sex:CES1  Above Women 1          3.64  <2e-16
## PovStat:Sex:CES1  Below Women 1          3.66  <2e-16
## PovStat:Sex:CES1  Above Men 1            3.39  <2e-16
## PovStat:Sex:CES1  Below Men 1            3.89  <2e-16
## 
##  Differences of LSMEANS:
##                                       Estimate Standard Error   DF t-value
## IPVstatus 0-1                             -0.1         0.0693 87.7   -2.05
## PovStat Above-Below                       -0.3         0.0703 94.4   -4.38
## Sex Women-Men                              0.1         0.0826 96.3    0.68
## CES1 0-1                                   0.1         0.0680 93.0    2.06
## IPVstatus:PovStat  0 Above- 1 Above        0.0         0.0870 87.1   -0.57
## IPVstatus:PovStat  0 Above- 0 Below       -0.2         0.0839 88.0   -2.57
## IPVstatus:PovStat  0 Above- 1 Below       -0.5         0.1038 93.0   -4.34
## IPVstatus:PovStat  1 Above- 0 Below       -0.2         0.0933 89.0   -1.78
## IPVstatus:PovStat  1 Above- 1 Below       -0.4         0.1174 95.2   -3.41
## IPVstatus:PovStat  0 Below- 1 Below       -0.2         0.1139 91.4   -2.06
## IPVstatus:Sex  0 Women- 1 Women           -0.1         0.0835 90.5   -1.32
## IPVstatus:Sex  0 Women- 0 Men              0.1         0.0917 98.3    0.96
## IPVstatus:Sex  0 Women- 1 Men             -0.1         0.1087 90.0   -0.79
## IPVstatus:Sex  1 Women- 0 Men              0.2         0.1069 96.0    1.86
## IPVstatus:Sex  1 Women- 1 Men              0.0         0.1279 92.5    0.19
## IPVstatus:Sex  0 Men- 1 Men               -0.2         0.1173 90.8   -1.48
## IPVstatus:CES1  0 0- 1 0                  -0.2         0.1100 92.9   -1.89
## IPVstatus:CES1  0 0- 0 1                   0.1         0.0730 91.4    1.02
## IPVstatus:CES1  0 0- 1 1                   0.0         0.0862 90.9   -0.02
## IPVstatus:CES1  1 0- 0 1                   0.3         0.1068 90.2    2.65
## IPVstatus:CES1  1 0- 1 1                   0.2         0.1172 95.4    1.76
## IPVstatus:CES1  0 1- 1 1                  -0.1         0.0856 90.7   -0.90
## PovStat:Sex  Above Women- Below Women     -0.3         0.0813 91.3   -3.42
## PovStat:Sex  Above Women- Above Men        0.1         0.0867 96.3    1.00
## PovStat:Sex  Above Women- Below Men       -0.3         0.1111 95.6   -2.26
## PovStat:Sex  Below Women- Above Men        0.4         0.1057 95.4    3.45
## PovStat:Sex  Below Women- Below Men        0.0         0.1230 92.3    0.21
## PovStat:Sex  Above Men- Below Men         -0.3         0.1107 92.4   -3.05
## PovStat:CES1  Above 0- Below 0            -0.4         0.1047 96.6   -4.18
## PovStat:CES1  Above 0- Above 1             0.0         0.0991 97.3    0.11
## PovStat:CES1  Above 0- Below 1            -0.2         0.1058 94.4   -1.59
## PovStat:CES1  Below 0- Above 1             0.4         0.0890 92.8    5.04
## PovStat:CES1  Below 0- Below 1             0.3         0.1141 94.6    2.36
## PovStat:CES1  Above 1- Below 1            -0.2         0.1119 95.9   -1.60
## Sex:CES1  Women 0- Men 0                   0.0         0.1083 91.5    0.16
## Sex:CES1  Women 0- Women 1                 0.1         0.0950 98.3    1.07
## Sex:CES1  Women 0- Men 1                   0.2         0.1065 91.2    1.85
## Sex:CES1  Men 0- Women 1                   0.1         0.1074 97.9    0.78
## Sex:CES1  Men 0- Men 1                     0.2         0.0998 87.9    1.80
## Sex:CES1  Women 1- Men 1                   0.1         0.1080 98.5    0.88
##                                       Lower CI Upper CI p-value
## IPVstatus 0-1                          -0.2800  -0.0046   0.043
## PovStat Above-Below                    -0.4477  -0.1686  <2e-16
## Sex Women-Men                          -0.1074   0.2204   0.495
## CES1 0-1                                0.0054   0.2753   0.042
## IPVstatus:PovStat  0 Above- 1 Above    -0.2227   0.1231   0.568
## IPVstatus:PovStat  0 Above- 0 Below    -0.3825  -0.0489   0.012
## IPVstatus:PovStat  0 Above- 1 Below    -0.6565  -0.2443  <2e-16
## IPVstatus:PovStat  1 Above- 0 Below    -0.3512   0.0195   0.079
## IPVstatus:PovStat  1 Above- 1 Below    -0.6336  -0.1676   9e-04
## IPVstatus:PovStat  0 Below- 1 Below    -0.4610  -0.0085   0.042
## IPVstatus:Sex  0 Women- 1 Women        -0.2764   0.0554   0.189
## IPVstatus:Sex  0 Women- 0 Men          -0.0936   0.2703   0.338
## IPVstatus:Sex  0 Women- 1 Men          -0.3018   0.1302   0.432
## IPVstatus:Sex  1 Women- 0 Men          -0.0133   0.4109   0.066
## IPVstatus:Sex  1 Women- 1 Men          -0.2293   0.2787   0.847
## IPVstatus:Sex  0 Men- 1 Men            -0.4070   0.0588   0.141
## IPVstatus:CES1  0 0- 1 0               -0.4263   0.0107   0.062
## IPVstatus:CES1  0 0- 0 1               -0.0703   0.2199   0.308
## IPVstatus:CES1  0 0- 1 1               -0.1732   0.1692   0.982
## IPVstatus:CES1  1 0- 0 1                0.0704   0.4948   0.010
## IPVstatus:CES1  1 0- 1 1               -0.0268   0.4385   0.082
## IPVstatus:CES1  0 1- 1 1               -0.2468   0.0932   0.372
## PovStat:Sex  Above Women- Below Women  -0.4396  -0.1165   9e-04
## PovStat:Sex  Above Women- Above Men    -0.0854   0.2586   0.320
## PovStat:Sex  Above Women- Below Men    -0.4722  -0.0311   0.026
## PovStat:Sex  Below Women- Above Men     0.1548   0.5745   8e-04
## PovStat:Sex  Below Women- Below Men    -0.2179   0.2707   0.830
## PovStat:Sex  Above Men- Below Men      -0.5581  -0.1183   0.003
## PovStat:CES1  Above 0- Below 0         -0.6454  -0.2298   1e-04
## PovStat:CES1  Above 0- Above 1         -0.1858   0.2076   0.913
## PovStat:CES1  Above 0- Below 1         -0.3779   0.0422   0.116
## PovStat:CES1  Below 0- Above 1          0.2717   0.6252  <2e-16
## PovStat:CES1  Below 0- Below 1          0.0432   0.4963   0.020
## PovStat:CES1  Above 1- Below 1         -0.4008   0.0434   0.114
## Sex:CES1  Women 0- Men 0               -0.1975   0.2328   0.871
## Sex:CES1  Women 0- Women 1             -0.0871   0.2900   0.288
## Sex:CES1  Women 0- Men 1               -0.0148   0.4085   0.068
## Sex:CES1  Men 0- Women 1               -0.1292   0.2969   0.437
## Sex:CES1  Men 0- Men 1                 -0.0192   0.3775   0.076
## Sex:CES1  Women 1- Men 1               -0.1189   0.3097   0.379
## 
## Final model:
## lme4::lmer(formula = logTrailsA ~ Age + IPVstatus + PovStat + 
##     Sex + CES1 + (1 | subclass) + Age:IPVstatus + Age:PovStat + 
##     Age:Sex + Age:CES1 + IPVstatus:PovStat + IPVstatus:Sex + 
##     IPVstatus:CES1 + PovStat:Sex + PovStat:CES1 + Sex:CES1 + 
##     Age:IPVstatus:PovStat + Age:IPVstatus:Sex + Age:IPVstatus:CES1 + 
##     Age:PovStat:Sex + Age:Sex:CES1 + IPVstatus:PovStat:Sex + 
##     IPVstatus:Sex:CES1 + PovStat:Sex:CES1 + Age:IPVstatus:PovStat:Sex + 
##     Age:IPVstatus:Sex:CES1, data = IPVandCognitionDataSet2, REML = reml, 
##     contrasts = l)

Re-run suggested final Model 2

(mm2 = lmer(logTrailsA ~ Age + IPVstatus + PovStat + Sex + CES1 + (Age | HNDid) + 
    (1 | subclass) + Age:IPVstatus + Age:PovStat + Age:Sex + Age:CES1 + IPVstatus:PovStat + 
    IPVstatus:Sex + IPVstatus:CES1 + PovStat:Sex + PovStat:CES1 + Sex:CES1 + 
    Age:IPVstatus:PovStat + Age:IPVstatus:Sex + Age:IPVstatus:CES1 + Age:PovStat:Sex + 
    Age:Sex:CES1 + IPVstatus:PovStat:Sex + IPVstatus:Sex:CES1 + PovStat:Sex:CES1 + 
    Age:IPVstatus:PovStat:Sex + Age:IPVstatus:Sex:CES1, data = IPVandCognitionDataSet2))
## Warning: number of observations <= rank(Z); variance-covariance matrix
## will be unidentifiable
## Linear mixed model fit by REML ['merModLmerTest']
## Formula: logTrailsA ~ Age + IPVstatus + PovStat + Sex + CES1 + (Age |      HNDid) + (1 | subclass) + Age:IPVstatus + Age:PovStat + Age:Sex +      Age:CES1 + IPVstatus:PovStat + IPVstatus:Sex + IPVstatus:CES1 +      PovStat:Sex + PovStat:CES1 + Sex:CES1 + Age:IPVstatus:PovStat +      Age:IPVstatus:Sex + Age:IPVstatus:CES1 + Age:PovStat:Sex +      Age:Sex:CES1 + IPVstatus:PovStat:Sex + IPVstatus:Sex:CES1 +      PovStat:Sex:CES1 + Age:IPVstatus:PovStat:Sex + Age:IPVstatus:Sex:CES1 
##    Data: IPVandCognitionDataSet2 
## REML criterion at convergence: 114.8 
## Random effects:
##  Groups   Name        Std.Dev. Corr
##  HNDid    (Intercept) 0.23993      
##           Age         0.00999  1.00
##  subclass (Intercept) 0.23593      
##  Residual             0.19117      
## Number of obs: 126, groups: HNDid, 63; subclass, 21
## Fixed Effects:
##                        (Intercept)                                 Age  
##                            3.30551                             0.01561  
##                         IPVstatus1                        PovStatBelow  
##                            0.54121                             0.31640  
##                             SexMen                               CES11  
##                            0.15118                             0.45066  
##                     Age:IPVstatus1                    Age:PovStatBelow  
##                            0.05086                            -0.01324  
##                         Age:SexMen                           Age:CES11  
##                           -0.00178                             0.01273  
##            IPVstatus1:PovStatBelow                   IPVstatus1:SexMen  
##                            0.98871                            -0.66280  
##                   IPVstatus1:CES11                 PovStatBelow:SexMen  
##                           -1.03006                            -0.08332  
##                 PovStatBelow:CES11                        SexMen:CES11  
##                           -0.52057                            -0.79333  
##        Age:IPVstatus1:PovStatBelow               Age:IPVstatus1:SexMen  
##                            0.11065                            -0.07175  
##               Age:IPVstatus1:CES11             Age:PovStatBelow:SexMen  
##                           -0.09548                             0.01042  
##                   Age:SexMen:CES11      IPVstatus1:PovStatBelow:SexMen  
##                           -0.02649                            -0.64647  
##            IPVstatus1:SexMen:CES11           PovStatBelow:SexMen:CES11  
##                            1.56956                             0.60334  
## Age:IPVstatus1:PovStatBelow:SexMen         Age:IPVstatus1:SexMen:CES11  
##                           -0.07537                             0.15571

summary(mm2)
## Warning: number of observations <= rank(Z); variance-covariance matrix will be unidentifiable
## Warning: number of observations <= rank(Z); variance-covariance matrix will be unidentifiable
## Linear mixed model fit by REML ['merModLmerTest']
## Formula: logTrailsA ~ Age + IPVstatus + PovStat + Sex + CES1 + (Age |      HNDid) + (1 | subclass) + Age:IPVstatus + Age:PovStat + Age:Sex +      Age:CES1 + IPVstatus:PovStat + IPVstatus:Sex + IPVstatus:CES1 +      PovStat:Sex + PovStat:CES1 + Sex:CES1 + Age:IPVstatus:PovStat +      Age:IPVstatus:Sex + Age:IPVstatus:CES1 + Age:PovStat:Sex +      Age:Sex:CES1 + IPVstatus:PovStat:Sex + IPVstatus:Sex:CES1 +      PovStat:Sex:CES1 + Age:IPVstatus:PovStat:Sex + Age:IPVstatus:Sex:CES1 
##    Data: IPVandCognitionDataSet2 
## 
## REML criterion at convergence: 114.8 
## 
## Random effects:
##  Groups   Name        Variance Std.Dev. Corr
##  HNDid    (Intercept) 5.76e-02 0.23993      
##           Age         9.98e-05 0.00999  1.00
##  subclass (Intercept) 5.57e-02 0.23593      
##  Residual             3.65e-02 0.19117      
## Number of obs: 126, groups: HNDid, 63; subclass, 21
## 
## Fixed effects:
##                                    Estimate Std. Error       df t value
## (Intercept)                         3.30551    0.15427 20.50000   21.43
## Age                                 0.01561    0.01076 38.20000    1.45
## IPVstatus1                          0.54121    0.27496 43.30000    1.97
## PovStatBelow                        0.31640    0.22467 29.60000    1.41
## SexMen                              0.15118    0.20136 16.50000    0.75
## CES11                               0.45066    0.19599 25.90000    2.30
## Age:IPVstatus1                      0.05086    0.02336 82.40000    2.18
## Age:PovStatBelow                   -0.01324    0.01615 32.60000   -0.82
## Age:SexMen                         -0.00178    0.01519 29.50000   -0.12
## Age:CES11                           0.01273    0.01530 66.80000    0.83
## IPVstatus1:PovStatBelow             0.98871    0.42255 43.20000    2.34
## IPVstatus1:SexMen                  -0.66280    0.54993 32.00000   -1.21
## IPVstatus1:CES11                   -1.03006    0.34485 38.20000   -2.99
## PovStatBelow:SexMen                -0.08332    0.29852 22.00000   -0.28
## PovStatBelow:CES11                 -0.52057    0.16620 18.20000   -3.13
## SexMen:CES11                       -0.79333    0.34596 46.20000   -2.29
## Age:IPVstatus1:PovStatBelow         0.11065    0.03737 75.70000    2.96
## Age:IPVstatus1:SexMen              -0.07175    0.03836 58.80000   -1.87
## Age:IPVstatus1:CES11               -0.09548    0.02960 75.80000   -3.23
## Age:PovStatBelow:SexMen             0.01042    0.02638 31.30000    0.39
## Age:SexMen:CES11                   -0.02649    0.02998 80.40000   -0.88
## IPVstatus1:PovStatBelow:SexMen     -0.64647    0.58127 34.70000   -1.11
## IPVstatus1:SexMen:CES11             1.56956    0.53900 22.70000    2.91
## PovStatBelow:SexMen:CES11           0.60334    0.35877 53.40000    1.68
## Age:IPVstatus1:PovStatBelow:SexMen -0.07537    0.05057 63.20000   -1.49
## Age:IPVstatus1:SexMen:CES11         0.15571    0.04565 63.90000    3.41
##                                    Pr(>|t|)
## (Intercept)                         1.6e-15
## Age                                  0.1549
## IPVstatus1                           0.0555
## PovStatBelow                         0.1695
## SexMen                               0.4634
## CES11                                0.0298
## Age:IPVstatus1                       0.0323
## Age:PovStatBelow                     0.4183
## Age:SexMen                           0.9078
## Age:CES11                            0.4081
## IPVstatus1:PovStatBelow              0.0240
## IPVstatus1:SexMen                    0.2369
## IPVstatus1:CES11                     0.0049
## PovStatBelow:SexMen                  0.7828
## PovStatBelow:CES11                   0.0057
## SexMen:CES11                         0.0264
## Age:IPVstatus1:PovStatBelow          0.0041
## Age:IPVstatus1:SexMen                0.0664
## Age:IPVstatus1:CES11                 0.0019
## Age:PovStatBelow:SexMen              0.6956
## Age:SexMen:CES11                     0.3795
## IPVstatus1:PovStatBelow:SexMen       0.2737
## IPVstatus1:SexMen:CES11              0.0079
## PovStatBelow:SexMen:CES11            0.0985
## Age:IPVstatus1:PovStatBelow:SexMen   0.1411
## Age:IPVstatus1:SexMen:CES11          0.0011
## 
## Correlation matrix not shown by default, as p = 26 > 20.
## Use print(x, correlation=TRUE)  or
##     vcov(x)   if you need it

plot(st)

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plot(mm2)

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